Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
6. Converting Measures
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Exercise 52 Page 148

When multiplying conversion factors, make sure the only remaining units are the desired units.

1.13

Practice makes perfect
Let's start by writing the given statement. 17gal/h&= qt/min In this exercise, we need to change gallons per hour into quarts per minute. Since this will involve multiple conversion factors, let's organize them in a table.
Starting Unit Converted Unit
1 gallon 4 quarts
1 hour 60 minutes
To perform this conversion, we need to multiply the given value by all of these conversion factors. Remember, we need to arrange these ratios such that every unit we do not want gets canceled out and only the units that we want will remain.
17 gal/h * 4 qt/1 gal * 1 h/60 min
17 gal * 4 qt * 1 h/h * 1 gal * 60 min

Cancel out common units

17 gal * 4 qt * 1 h/h * 1 gal * 60 min
17 * 4 qt * 1/1 * 60 min
68 qt/60min
68/60 * qt/min
1.133333 ... * qt/min
≈ 1.13 * qt/min
We found that 17gal/h is approximately 1.13qt/min. We can now complete the given statement. 17gal/h&≈ 1.13qt/min

Extra

Common Conversion Factors
The following tool can be used to help you explore some of the most commonly used conversion factors. Conversions can be made both within or between the Metric System and the Imperial System — which is also known as the U.S. Customary System.
Conversion factors between different units of measurement
Around the world, people use conversion factors on a regular basis. You can read more about some practical applications of conversion factors in our original content.

Dimensional Analysis and Using Units